| Attractivity in a Delayed Three—species Ratio—dependent Predator—prey System without Dominating Instantaneous Negative Feedback |
| |
| 作者姓名： | RuiXu Lan-sunChen M.A.J.Chaplain |
| |
| 作者单位： | [1]DepartmentofMathematics,MechanicalEngineeringCollege,Shijiazhuang050003,China [2]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China [3]DepartmentofMathematics,UniversityofDundee,DundeeDD14HN,UK |
| |
| 基金项目： | Supported by (Grant DMS-9803323). |
| |
| 摘 要： | A delayed three-species ratio-dependent predator-prey food-chain model without dominating in-stantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.
|
| 关 键 词： | 吸引性 种族 时滞 一致持久性 比率相依 食肉动物－捕食系统 控制瞬时非负反馈 微分方程 Michaelis－Menten泛函响应 |
Attractivity in a Delayed Three-species Ratio-dependent Predator-prey System without Dominating Instantaneous Negative Feedback |
| |
| RuiXu Lan-sunChen M.A.J.Chaplain.Attractivity in a Delayed Three-species Ratio-dependent Predator-prey System without Dominating Instantaneous Negative Feedback[J].Acta Mathematicae Applicatae Sinica,2003,19(2):317-332. |
| |
| Authors: | Rui Xu Lan-sun Chen M A J Chaplain |
| |
| Institution: | (1) Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China, CN;(2) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China, CN;(3) Department of Mathematics, University of Dundee, Dundee DD1 4HN, UK, GB |
| |
| Abstract: | A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system. |
| |
| Keywords: | Time delay uniform persistence global attractivity |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
